Iterated spans and classical topological field theories

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Iterated spans and classical topological field theories. / Haugseng, Rune.

In: Mathematische Zeitschrift, Vol. 289, No. 3-4, 2018, p. 1427–1488.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Haugseng, R 2018, 'Iterated spans and classical topological field theories', Mathematische Zeitschrift, vol. 289, no. 3-4, pp. 1427–1488. https://doi.org/10.1007/s00209-017-2005-x

APA

Haugseng, R. (2018). Iterated spans and classical topological field theories. Mathematische Zeitschrift, 289(3-4), 1427–1488. https://doi.org/10.1007/s00209-017-2005-x

Vancouver

Haugseng R. Iterated spans and classical topological field theories. Mathematische Zeitschrift. 2018;289(3-4):1427–1488. https://doi.org/10.1007/s00209-017-2005-x

Author

Haugseng, Rune. / Iterated spans and classical topological field theories. In: Mathematische Zeitschrift. 2018 ; Vol. 289, No. 3-4. pp. 1427–1488.

Bibtex

@article{451e4cdbff1b457cb8dd75287f514cf9,
title = "Iterated spans and classical topological field theories",
abstract = "We construct higher categories of iterated spans, possibly equipped with extra structure in the form of higher-categorical local systems, and classify their fully dualizable objects. By the Cobordism Hypothesis, these give rise to framed topological quantum field theories, which are the framed versions of the classical topological quantum field theories considered in the quantization programme of Freed–Hopkins–Lurie–Teleman. Using this machinery, we also construct an (Formula presented.)-category of symplectic derived algebraic stacks and Lagrangian correspondences and show that all its objects are dualizable.",
author = "Rune Haugseng",
year = "2018",
doi = "10.1007/s00209-017-2005-x",
language = "English",
volume = "289",
pages = "1427–1488",
journal = "Mathematische Zeitschrift",
issn = "0025-5874",
publisher = "Springer",
number = "3-4",

}

RIS

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T1 - Iterated spans and classical topological field theories

AU - Haugseng, Rune

PY - 2018

Y1 - 2018

N2 - We construct higher categories of iterated spans, possibly equipped with extra structure in the form of higher-categorical local systems, and classify their fully dualizable objects. By the Cobordism Hypothesis, these give rise to framed topological quantum field theories, which are the framed versions of the classical topological quantum field theories considered in the quantization programme of Freed–Hopkins–Lurie–Teleman. Using this machinery, we also construct an (Formula presented.)-category of symplectic derived algebraic stacks and Lagrangian correspondences and show that all its objects are dualizable.

AB - We construct higher categories of iterated spans, possibly equipped with extra structure in the form of higher-categorical local systems, and classify their fully dualizable objects. By the Cobordism Hypothesis, these give rise to framed topological quantum field theories, which are the framed versions of the classical topological quantum field theories considered in the quantization programme of Freed–Hopkins–Lurie–Teleman. Using this machinery, we also construct an (Formula presented.)-category of symplectic derived algebraic stacks and Lagrangian correspondences and show that all its objects are dualizable.

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U2 - 10.1007/s00209-017-2005-x

DO - 10.1007/s00209-017-2005-x

M3 - Journal article

AN - SCOPUS:85038385887

VL - 289

SP - 1427

EP - 1488

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

SN - 0025-5874

IS - 3-4

ER -

ID: 196944762